5n-2=-1n+6

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Solution for 5n-2=-1n+6 equation:


Simplifying
5n + -2 = -1n + 6

Reorder the terms:
-2 + 5n = -1n + 6

Reorder the terms:
-2 + 5n = 6 + -1n

Solving
-2 + 5n = 6 + -1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'n' to each side of the equation.
-2 + 5n + n = 6 + -1n + n

Combine like terms: 5n + n = 6n
-2 + 6n = 6 + -1n + n

Combine like terms: -1n + n = 0
-2 + 6n = 6 + 0
-2 + 6n = 6

Add '2' to each side of the equation.
-2 + 2 + 6n = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 6n = 6 + 2
6n = 6 + 2

Combine like terms: 6 + 2 = 8
6n = 8

Divide each side by '6'.
n = 1.333333333

Simplifying
n = 1.333333333

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